K-Nuclear Bound States in Relativistic Mean-Field Theory

We have developed the relativistic mean field model to the study of kaonic nuclei. Starting with the Lagrangian for nucleons and (anti)kaon meson, the equations of motion for nucleon field, scalar meson, vector meson and (anti)kaon meson fields are deduced. By self-consistently solving the equations of motion, the K−-nuclear deeply bound states are obtained for the nuclei with A ≥ 8. The K−-nucleus binding energy of the ground state (1s) is on the order of 100 MeV. It appears 1p states for the A ≥ 20 nuclear cores, the binding energy for 1p states is in the range 62−82 MeV. The shrinkage effect is found in the possible K−-nuclear deeply bound states. The interior nucleon-density of the kaonic nuclei increases obviously, especially for the light ones. The strength of the kaon field is in the range 8 − 20 MeV for the ground states, and the interaction range is about 3− 4 fm in a nucleus. PACS: 21.10.Dr, 21.30.Fe, 21.90.+f